Question

Solve the following equations for x. Identify any extraneous solutions.

Answer 1

We have the following equation:
\[-4\sqrt{x+9}=20\]When we solve it for x, we obtain:
\[\sqrt{x+9}=-5\]\[x+9=25\]\[x=16\]Let's check it:
\[-4\sqrt{x+9}=20\]\[\sqrt{16+9}=-5\]\[\sqrt{25}=-5\]\[±5=-5\]

Answer 2

thank you for spending the time on explaining i much appreciate it.